Hw. Find thedengths far he fallawing Curvers tr=lt Cosa

Q: 36. Write an equation of the circle that is tangent to both axes with radius V11 and center in…

A: Let the center of the circle be x,y. The circle touches the x-axis at x,0 and y- axis at 0,y Since…

Q: Hw. Find the lengths Ror the fallowing Curvere 2-

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Q: Find the length of the following two-dimensional curve. 2² (2+1)³/2 2 3 r(t) = L=0 for 0 ≤t≤ 6

A: Given: The given two dimensional curve is rt=t22,2t+1323 for 0≤t≤6. To find: The main aim is to find…

Q: 4. If XY = 78 miles and mXY = 70°, then determine the radius of circle H. %D %3D Y

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Q: following curves then gloth them Soィす& sゃpu %3D

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Q: • How. Find the lengths for the following curver.. 1= r = 1 + cosa

A: Explanation of the answer is as follows

Q: 1. For each curve, construct dr. • Let C1 be r? + y? = 16 • Let C2 be y = 5 – 2x • Let C3 be r = 2 –…

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Q: Ex 3 identify the equarion of a line a) parallei that is é b) perpendicular y= x-2 through ly,-1)

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Q: Find the length of the following two-dimensional curve. 3/2 (2t + 1) 2 r(t) = for 0sts4 3

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Q: Determine the length of the tangent to the circle x? + y? - 4x - 5 = 0 from (8, -2). * 2.89 5.57…

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Q: Find the length of the curve. r(t) = √√2ti + etj+ek, 0≤t≤7

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Q: In the circle below, L is the center, IH is a diameter, FJ intersects the circle at H, and NK…

A: A chord is a line segment joining two points on the circumference of the circle. It starts with 1st…

Q: The speed (mph) and the stopping distance (ft) of a travelling car are given as follows. Speed…

A: Use the Excel and Perform the Regression. Followings are the Steps to perform the Regression 1) Open…

Q: the sloper of the curve 2y = ax? +b at (1,–1) is – 1.Find a, b

A: We have given the sloper of a curve at (1, -1) is -1 .  We have to find the value of a and b.

Q: Use the arc length formula to find the length of the curve y = 5 - 4x, -15 xs 3. Check your answer…

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Q: 35. Write an equation of the circle that is tangent to both axes with radius V7 and center in…

A: Let a circle be tangent to the x-axis at point (x,0). Then the line perpendicular to x-axis at this…

Q: Find the points on the curve 5x + 5y? - 6xy - 6xy = 4 nearest to the origin.

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Q: Find the length of the following two-dimensional curve. (2t + 1)3/2| E (2t + 1)3/2 r(t) = 2 for 0…

A: gF the curve defined by x=g(t), y=h(t)where c≤t≤d. Then the length of curve is given by definite…

Q: Find the exact length of the tangent to the circle with equ a? + 8x + y? – 6y + 16 = 0 from the…

A: Topic:- Geometry

Q: Find the exact length of the curve. 23/2, Osxs 6

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Q: Find the exact length of the portion of the curve shown in b r = 0+ 2 2 (i)

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Q: find the eauatjo aof the nor ma l to the curve 2. (x + 3)?y =3y-3x2

A: For any curve y=f(x), slope of tangents and normal at any point x1, y1 can be given by mT=dydx(x1,…

Q: A simple curve is shown below. Given: A and T (tangent distance) Required a.) E b.) M c.) Length of…

A: A simple curve is given. Given - Deflection angle=∆Length of tangent =T To find - (a) EE is length…

Q: Find the lengths of the following curves. x? 2 а. у %3 + In x, 3sx<6 8 2 y - 8 In 8 y .3sys 18 b. x…

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Q: w Find the lengths for the fallowing curvers tar=lt cose 2.

A: find the length of both polar curve as following:-

Q: Find the length of the following three-dimensional curve. r(t) = (5+ 4t,9-3t, - 6+2t), for 1sts6 L =…

A: length of the curve r(t) is L=∫ab∥r′(t)∥dt

Q: Which of the following lines is tangent to circle F ? * E B A (AG) O (AES (DE) (BD)

A: Topic:- tangent to circle

Q: Determine if AB is tangent to the circle. 12 6.

A: In the question it is asked to proof that line segment AB is tangent to the given circle.

Q: Find the exact length of the curve. x = et − t,    y = 4et/2,    0 ≤ t ≤ 5

A: We will use arc length formula to solve this questions

Q: 3.2.67 A frequent problem in surveying city lots and rural lands adjacent to curves of highways and…

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Q: Segment WX and WY are tangents to Circle P. If mzP=125°, find: Y mXY m XZY mzWXP mzW N

A: Given that a circle P and XP and YP are redius of this circle .and WX and WY are tangents.  Here i…

Q: For the circle x2 + y? = 2, which of the following is the equation of the tangent line at the point…

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Q: Find the length of the curve. Vzti + etj + e-tk, Osts 3

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Q: For what values of a and b is the line-5x +y b tangent to the curve y = ax when x = 37 a = b D %3D…

A: Given: Equation of line is -5x+y=b. Equation of curve is y = ax3 .

Q: Find the length of the following curve (a) x = 2t , y = cos 4t, 0 <t<

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Q: Show by elimination that x = and y = almost represent the unit 2t2 + 2t + 1 2t2 + 2t + 1 circle x? +…

A: x =2t+12t2+2t+1, y=2t2+2t2t2+2t+1 ....(1)x2+y2=1 ...(2)put (1) in…

Q: Which line would be tangent to the circle shown? Ay %24

A: A tangent to a circle is a straight line which touches the circle at only one point. This point is…

Q: The siope of a line tangere to the curve y=fx)at(3 4) 0f iz cists) equais

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Q: 9t4 – 1dt, 1< x < 5 y = L = %3D

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Q: At what points do the curves y=x2 and y=√x intersect? Find the angles of intersection between the…

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Q: 7. Determine if line AB is tangent to the circle. Show your work. B 6 12 16

A: Use circle property

Q: Find the length of the following three-dimensional curve. r(t) 12,92t, 6+5t), for 1sts8 L = (Type an…

A: The given three-dimensional curve is,

Q: Explain how to find the length of the curve                         r(t) = ⟨ƒ(t), g(t), h(t)⟩, for a…

A: To Determine: Explain how to find the length of the curve Given: we have rt=&lt;f(t),g(t),h(t)&gt;…

Q: Given the curve ax? = y³, find the shortest possible distance between the curve and the point…

A: I am attaching image so that you understand each and every step.

Q: 1. AB is tangent to the circle at B. mZA = 27 and mBC = 114 (The figure is not drawn to scale.) B…

A: According to the diagram, we have

Q: find a cartesian equation for the curve r=3cos(θ)

A: Cartesian equation for the curve is r=3 cos(θ)   Now x=r cos(θ)  …….. equation(1) cosθ=xrr=3xcosθ…